Computation of turbulent vortex shedding

Computational Mechanics - Tập 37 - Trang 408-425 - 2005
B. A. Younis1, V. P. Przulj2
1Department of Civil and Environmental Engineering, University of California, Davis, USA
2Ricardo Software, West Sussex, UK

Tóm tắt

The paper reports on the prediction of the flow field around smooth cylinders in cross flow at high Reynolds number. Both circular and square-sectioned cylinders are considered. The principal feature of these flows, and the primary cause for the difficulty in their prediction, is the development of a von Karman vortex street leading to significant fluctuations in surface pressures. It has already been established from several previous studies that eddy-viscosity closures fail to capture the correct magnitude of these fluctuations though there is no consensus as to the underlying causes. In this work, it is argued that the organized fluctuations in the mean-flow field introduce energy into the random turbulence motions at a frequency that corresponds exactly to the shedding frequency and that, as a consequence, it becomes necessary to explicitly account in the turbulence closure for the resulting modification of the spectral transfer process. A proposal to account for this direct energy transfer in the context of two-equation eddy-viscosity closures is put forward and is checked by comparisons with experimental data from both square and circular cylinders at high Reynolds number. Uncertainties in the predictions due to numerical discretization errors are systematically minimized. The outcome of comparisons with experimental data and with results from alternative closures, including Large-Eddy Simulations, validate the proposal.

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Tài liệu tham khảo

Karniadakis GE, Triantafyllou GS (1992) Three-dimensional dynamics and transition to turbulence in the wake of bluff objects. J Fluid Mech, 238:1–30

Zdravkovich MM Flow Around Circular Cylinders, Oxford University Press, Oxford, 1997

Jordan SA, Rajab SA (1998) A large eddy simulation of the near wake of a circular cylinder. J Fluids Eng 120:243–252

Kravchenko AG, Moin P (2000) Numerical studies of flow over a circular cylinder at Re = 3900. Phys Fluids 12:403–417

Rodi W, Ferziger JH, Breuer M, Pourquie M (1997) Status of large eddy simulation: results of a workshop. ASME J Fluids Eng 119:248–62

Franke R, Rodi W (1993) Calculation of vortex shedding past a square cylinder with various turbulence models. Turbulent Shear Flows 8, F. Durst et al. (eds.), Springer, New York, pp. 189–204

Celik I, Shaffer FD (1995) Long time-averaged solutions of turbulent flow past a circular cylinder. J Wind Eng Indust Aerodynamics 56:185–212

Medic G (1999) Etude mathematiques des modeles aux tensions de Reynolds et simulation numerique d'ecoulements turbulents sur parois fixes et mobiles, Ph.D. Thesis. Universite Paris VI, France

Younis BA (1988) On modeling vortex Shedding from bluff bodies in laminar and turbulent streams. Proc 7th Int Conf on Offshore Mechanics and Arctic Engineering, Houston, Texas, pp. 23–228

Przulj V, Younis BA (1993) Some aspects of the prediction of turbulent vortex shedding. ASME FED, Separated flows 149

Kato M, Launder BE (1993) The modelling of turbulent flow around stationary and vibrating square cylinders, 9th Symp. on Turbulent Shear Flows, Kyoto, Japan, pp. 10.4.1–10.4.6

Younis BA (1999) Prediction of vortex shedding suppression at high Reynolds number. Bull. of the American Physical Society, Ser. II, vol. 44, No. 8

Speziale CG (1991) Analytical methods for the development of Reynolds-stress closures in turbulence. Annu Rev Fluid Mech 23:107–157

Durao D, Heitor M, Pereira J (1988) Measurements of turbulent and periodic flows around a square cross-section cylinder. Expts Fluids 6:298–304

Jung YW, Park SO (2005) Vortex-shedding characteristics in the wake of an oscillating airfoil at low Reynolds number. J Fluids Struct 20:451–464

Younis BA, Zhou Y (1997) Accounting for mean-flow unsteadiness in two-equation closures, ICASE report (unpublished)

Reynolds WC (1976) Computation of turbulent flows. Annu Rev Fluid Mech 8:183–208

Pope SB (2000) Turbulent Flows, Cambridge University Press, Cambridge

Przulj V (1998) Computational modeling of vortex shedding flows, Ph. D. Thesis, City University, London, England

Yakhot V, Orszag SA, Thangam S, Gatski T, Speziale, C.G. (1992) Development of turbulence models for shear flows by a double expansion technique. Phys Fluids, vol. A4. 1510–1520

Younis BA, Teigen P, Przulj VP (2001) Estimating the hydrodynamic forces on a mini TLP with computational fluid dynamics and design-code techniques. Ocean Eng 28:585–602

Gaskell PH, Lau AKC (1988) Curvature compensated convective transport: SMART, a new boundedness preserving transport algorithm. Int J Num Meth Fluids 8:617–641

Leonard BP (1979) A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Comp Meth Appl Mech Eng 19:59–98

Patankar SV, Spalding DB (1972) A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. Int J Heat Mass Trans 15:1787–1806

Lee BE (1975) The effect of turbulence on the surface pressure field of square prism. J Fluid Mech 69:263–282

Bearman PW, Obasaju ED (1989) Transverse forces on a circular cylinder oscillating in-line with a steady current. In: Proceedings of the 8th international conference on offshore mechanics and arctic engineering, Hague, March 19–23, pp 253–258

Lyn DA (1992) Ensemble-averaged measurements in the turbulent near wake of a square cylinder: a guide to the data, Report CE–HSE–92–6, School of Civil Engineering, Purdue University, USA

Gartshore IS (1984) Some effects of upstream turbulence on the unsteady lift forces imposed on prismatic two dimensional bodies. J Fluids Eng 106:419–424

Bearman PW, Morel T (1983) Effect of free stream turbulence on the flow around bluff bodies. Prog Aerospace Sci 20:97–123

Franke R Numerische Berechnung der instationaren Wirbelablosung hinter zylindrischen Korpern, Ph.D. Thesis, University of Karlsruhe, Germany, 1991

Gibson MM, Younis BA (1983) Turbulence measurements in a developing mixing layer with mild destabilising curvature. Expts Fluids 1:23–30

Achenbach E (1968) Distribution of Local Pressure and Skin Friction Around a Circular Cylinder in Cross-Flow up to Re = 5 × 106. J Fluid Mech 34, Part 4 625–639

Younis BA, Berger SA (2004) A turbulence model for pulsatile arterial flows. J Biomech Eng 126:578–584

Sweby PK (1984) High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM J Numer Anal 21:995–1011

Roache PJ (1994) Perspective: a method for uniform reporting of grid refinement studies. J Fluids Eng 116:405–413

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Computational Mechanics

Tập 37

408-425

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